Morphology is the study of the systematic relationship between the form and meaning of complex words. Therefore, it is a central task of morphology to provide a proper account of how the meanings... Show moreMorphology is the study of the systematic relationship between the form and meaning of complex words. Therefore, it is a central task of morphology to provide a proper account of how the meanings of complex words are computed. One straightforward approach would be to assume that the computation of complex words is ruled by Fregean compositionality. The latter, however, has been claimed to be too narrow, since both syntactic and morphological constructions may exhibit specific holistic semantic properties that cannot be derived from their constituents or from general patterns of combination (Booij, Construction morphology. Oxford University Press, Oxford, 2010; Goldberg, Constructions. A construction grammar approach to argument structure. The University of Chicago Press, Chicago, 1995; Goldberg, Constructions at work. The nature of generalization in language. Oxford University Press, Oxford, 2006; Jackendoff, Constructions in the parallel architecture. In: Hoffmann T, Trousdale G (eds) The Oxford handbook of construction grammar. Oxford University Press, Oxford, pp 70–92, 2013). In the article we address a related problem, i.e. the fact that the meaning of a complex word may derive from that of another linguistic construct (be it a word or a phrase) that is not a building block of that complex word. We illustrate this point by providing data from different languages and we claim that this type of violation of Fregean compositionality can be accounted for by means of “second order schemas”, i.e. sets of two or more paradigmatically related constructional schemas. Show less